Answer:
7 7/8
Step-by-step explanation:
What is the product?
Answer:
5/4k^2
Step-by-step explanation:
P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.
We will be using the following property of exponents:
\dfrac{a^x}{a^y}=a^{x-y}.
We have
P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.
Thus, the required product is \dfrac{5}{4k^2}.
Read more on Brainly.com - https://brainly.com/question/8858421#readmore
Answer: 5/4k^2
Step-by-step explanation:
Just multiply the fractions then simplify by a common factor of 3, then cancel out the common variable of k
Which is the completely factored form of 4x2 + 28x + 49?
O
(x + 7)(4x + 7)
4(x + 7)(x + 7)
(2x + 7)(2x + 7)
2(x+7)(x + 7)
.
Answer:
(2x + 7)(2x + 7)
Step-by-step explanation:
[tex]4 {x}^{2} + 28x + 49 \\ = 4 {x}^{2} + 14x + 14x + 49 \\ = 2x(2x + 7) + 7(2x + 7) \\ = (2x + 7)(2x + 7)[/tex]
Answer:
3) (2x+7)(2x+7)
Step-by-step explanation:
FOIL (first, outer, inner, last) it back out, you get 4x^2 + 14x + 14x + 49 which simplifies to the original.
A flying disc has has a circumference of 81.64 cm what is the area of the flying disc used 3.14 for pie
Answer:
530.66 cm squared
Step-by-step explanation:
c = 2(3.14)r
81.64 = 2(3.14)r
Divide both sides by 6.28
The radius is 13
a = 3.14(13 squared)
a = 530.66
Answer: 530.39 cm²
Step-by-step explanation:
C=2πr, Substitute 81.64 in for C then divide 2π t get 12.99. A=πr². Plug in 12.99 for r, solve, and get 530.39 cm
4. A swimming pool has a length that is 13 feet more than its width. If the area of
the pool is 608 feet squared, find the length of the pool.
Answer:
Step-by-step explanation:
32
i did this
Find the surface area and volume. Answer SA = ____, V= _______
Answer:
SA = 251.33 yd ^2
V = 301.59 yd ^3
Step-by-step explanation:
Right cylinder 2π = 6.28318530718
Solve for surface area
A =2πrh+2πr2 = 24 x 2π + 2π x 16
A =150.796447372 + 100.530964915
A ≈251.33 yd^2
Right cylinder π = 3.14159265359
Solve for volume
V = πr2h = 16 x 6 = 96π
V = 3.14159265359 x 96
V = 301.592894745
V= 301.59 yd ^3
The height of a right circular cone is multiplied by 4, but its radius remains fixed. By what factor will the volume of the cone be multiplied?
A. 1/4
B. 4
C. 8
D. 16
Answer:
B
Step-by-step explanation:
Because the height is only used once (not squared) in the cone volume formula, the volume is only multiplied by 4.
The volume of the right circular cone must be multiplied by 4.
The correct answer is option (B). 4
What is the volume of the right circular cone?[tex]V=\frac{1}{3}\times \pi \times r^{2} \times h[/tex], where 'r' is the radius of circular base and 'h' is the height of the right circular cone.
For given example,
The height of the right circular cone is multiplied by 4, but its radius remains fixed.
From the formula of the volume of the right circular cone,
[tex]V\propto h[/tex]
This means, as height of the cone increases, the volume of the cone increases at the same rate.
As the height of a right circular cone is multiplied by 4, the volume of the cone must be multiplied by factor 4.
Therefore, the correct answer is option (B). 4
Learn more about right circular cone here:
https://brainly.com/question/13137182
#SPJ2
Jillian plans a pillow pattern before sewing. The parallelogram in the center of the pattern has a base length of 9 inches and a
height of 7 inches. She needs to find the area of the fabric surrounding the parallelogram pattern. Which statements below should
she apply when solving this problem? Check all that apply.
Answer:
The area surrounding the parallelogram can be found by subtracting 63 from 128
Step-by-step explanation:
Parallelograms can be said to be shapes which has four sides including two pairs of sides that are parallel and the four shapes are square, rectangle, rhombus, and rhomboid. Although rhombus is said to look exactly like a slanted square, while rhomboid is said to looks like a slanted rectangle.
Therefore when solving the problem she should apply the area surrounding the parallelogram which can be found by subtracting 63 from 128 since
She needs to find the area of the fabric surrounding the parallelogram pattern.
Answer:
B, C, E
Step-by-step explanation:
On e2020
B-The area of the parallelogram is (9) (7) = 63.
C-The total area of the block is 128 square inches.
E-The area surrounding the parallelogram can be found by subtracting 63 from 128.
An unloaded truck can travel 689 kilometers (km) in 5 hours. If
the truck is loaded with fruit instead, it can travel 144 fewer
kilometers within the same time. What is the speed for the
truck loaded with fruit?
____km/h
Answer: 109 km/h
Step-by-step explanation:
Hi to answer this question we have to divide the distance traveled by the truck loaded with fruit (689-144) by the time that it took. (5)
Kilometers within the same time
Mathematically speaking:
(689-144)kilometers /5 hours = 109 km/h
Feel free to ask for more if needed or if you did not understand something.
Pleaseee helpppppp !
Answer:
122
Step-by-step explanation:
Inscribed Angles measure 1/2 of the central angle, using this:
61*2 = 122
I don’t know how to find the value.
Answer:
x=20
Step-by-step explanation:
The angles are vertical angles, which means they are equal
2x+20 = 60
Subtract 20 from each side
2x+20-20 = 60-20
2x = 40
Divide each side by 2
2x/2 = 40/2
x =20
Answer:
x=20. C.
Step-by-step explanation:
You see, 2x plus 20 and 60 are vertical angles. They are angles that go head to head. Vertical angles are also congruent, so if they are congruent you can write an equation, 2x+20=60. Solve for x, minus both sides by 20, and you get 2x=40. Divide both sides by 2 and you get x=20. Hope this helps!
A rectangle is transformed according to the rule Ro. 900. The image of the rectangle has vertices located at R'(4,4), S (4,1),
P(-3, 1), and Q'(-3, 4). What is the location of Q?
(4, -3)
(-3,-4)
(3,4)
(4,3)
0
The location of the point Q is (4,3)
How to determine the location of Q?The coordinates are given as:
R'(4,4), S (4,1), P(-3, 1), and Q'(-3, 4)
The transformation rule is given as:
90 degrees counterclockwise
The above rule is represented as:
(x,y) -> (-y,x)
So, we have:
(x,y) -> (-3,4)
Solve for x and y
(x,y) = (4,3)
Hence, the location of the point Q is (4,3)
Read more about transformation at:
https://brainly.com/question/4289712
Solve the system by graphing. Where necessary, indicate when the system has no solution or infinitely many solutions.
y = 2x + 1
y = 2x - 5
A. (1,-3)
B. (-2,-1)
C. (2,0)
D. no solution
Answer:
(D)
Step-by-step explanation:
When graphed, the lines do not cross at any point. There is a picture of this below.
The system has no solution.
Answer:
D. No Solution
Step-by-step explanation:
Both lines have a slope of 2x so that means they are parallel and will never cross
What is the equation of the line that is perpendicular to the
given line and passes through the point (3, 4)?
Answer:
I am pretty sure that the answer is
y = 3x -2
Step-by-step explanation:
given a line with slope m then the slope of a line perpendicular to it is
where m is the slope and b the y-intercept
I hoped this helped!!!
Answer: y=3x-5
Step-by-step explanation:
Got ot right on my test!!
Match the equivalent expressions.
4x + 4x + 4x + 4x
Gabrielle is cutting a triangular sign with a base of 8 inches. The perpendicular distance from the base of the sign to its vertex is 9 inches. What is the area of the sign?
The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.
Step-by-step explanation:
The given is,
Gabrielle is cutting a triangular sign
Base of 8 inches
The perpendicular distance from the base of the sign to its vertex is 9 inches
Step:1
Formula for area of triangle is,
Area, [tex]A = \frac{bh}{2}[/tex].....................................(1)
Where, b - Base of triangle
h - Height of triangle
From given value,
b - 8 inches
h - 9
Equation (1) becomes,
[tex]A = \frac{(8)(9)}{2}[/tex]
[tex]=\frac{72}{2}[/tex]
= 36
Area of triangle sign, A = 36 square inches
Result:
The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.
Answer:
36 in squared
Step-by-step explanation:
Blair spent 45% of her birthday money on new clothes. What fraction of her money is that equivalent to?
A) 22/50
B) 4/11
C) 9/20
D) 4/5
Which is greater,-2 4/9 or -2.25
Answer: -2.25
Step-by-step explanation:
-2 4/9 or -2.25
Convert this to decimal
-2 4/9
4/9=0.4444
Add to the 2
-2.4444
-2.444 or -2.25
In negative rule,the lower the value,the greater the number
Therefore,
-2.25 is greater than -2.444
Which point is the vertex of the angle below?
Answer:
C. F.
Step-by-step explanation:
The vertex is the point at which the lines that define the angle's amplitude meet.
In this case, they meet in point F.
Answer:
F
Step-by-step explanation:
The answer please? I’ve been stuck on it for a while
The length of a rectangle is six times its width. If the perimeter of the rectangle is 126cm , find its area.
Answer:
The area = 486 cm^2
The length is 54 cm and the width is 9 cm
54 times 9 = 486
Simplify: –3(y + 2)^2 – 5 + 6y
If a square has a side (s) length of 7 feet. What would the Area (A) of the
square be? *
Answer:
the area would be 7x7x7= 343 would be the answer length times width times height
please please please mark brainliest
Step-by-step explanation:
Answer:
49 square feet
Step-by-step explanation:
length, l = 7 feet
Area of the square, A = l^2
Slot in the value of l
= 7^2
= 49 square feet
Please help me solve this
Answer:
x = 2/5 = 0.400
Step-by-step explanation:
Step 1 :
1
Simplify —
4
Equation at the end of step 1 :
5 1
(— • x) - — = 0
8 4
Step 2 :
5
Simplify —
8
Equation at the end of step 2 :
5 1
(— • x) - — = 0
8 4
Step 3 :
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 8
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 3 2 3
Product of all
Prime Factors 8 4 8
Least Common Multiple:
8
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 5x
—————————————————— = ——
L.C.M 8
R. Mult. • R. Num. 2
—————————————————— = —
L.C.M 8
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5x - (2) 5x - 2
———————— = ——————
8 8
Equation at the end of step 3 :
5x - 2
—————— = 0
8
Step 4 :
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
5x-2
———— • 8 = 0 • 8
8
Now, on the left hand side, the 8 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
5x-2 = 0
Solving a Single Variable Equation :
4.2 Solve : 5x-2 = 0
Add 2 to both sides of the equation :
5x = 2
Divide both sides of the equation by 5:
x = 2/5 = 0.400
One solution was found :
x = 2/5 = 0.400
name a pair of complementary angles
Evaluate 7C3
OA) 25
O B) 45
OC) 35
OD) 20
Answer:
C) 35
Step-by-step explanation:
[tex]^7C_3 \\ = \frac{7!}{3!(7 - 3)!} \\= \frac{7!}{3! \: 4!} \\ = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = 35 \\ \huge \red{ \boxed{ \therefore \: ^7C_3 = 35}}[/tex]
Answer:
C=35
Step-by-step explanation:
⁷C₃
These is combination
using the rule it states that
ⁿCₐ= n!/(n-a)!a!
so therefore ⁷C₃= 7!/(7-3)!3! = 7!/4!3!=7x6x5x4x3x2x1/{(4x3x2x1)x(3x2x1)}
4x3x2x1 cancels itself as it appears up and down
7x6x5/6
6 cancels each itself as it appears up and down
7x5 = 35
A bag contains 12 red checkers and 6 black checkers. You will randomly select two checkers, one at a time, without replacement.
Fill in the probabilities on each branch of the tree diagram below. Write the probabilities as fractions in simplified form.
b) you could choose :
red, black
black, red
red, red
c) p(black, red) = (6/18)(12/17) = 72/306 = 4/17
[tex]f(x)=16t^2+32t[/tex]The function f(x)=-16t^2+32t represents the height of a pumpkin t seconds after it is launched from a catapult. When does the pumpkin reach its maximum height? What is the maximum height of the pumpkin?
Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
Tammy made a bracelet using red, white, and blue string. The red string is 2.4 centimeters long, the white string is 2.1 centimeters long, and the blue string is 2.6 centimeters long. What is the total length of the three strings? a.) 7.1 cm c.) 5.5 cm b.) 6.1 cm d.) 4.27 cm
Answer:
2.4cm
+
2.1cm
+
2.6cm
=7.1cm
The Soup Company wants to package its soup in a new can. The company has four choices for the cans. Which can will
provide the largest volume?
Can
Soup Can Choices
Radius
2 inches
2.5 inches
3 inches
3.2 inches
B
Height
6 inches
5 inches
4 inches
3 inches
0
Recall the formula V= xr2n.
Can A
O Can B
o Canc
Can D
Answer:
it would be can D
Step-by-step explanation:
Can C have greater volume.
What is Volume of Cylinder?The amount of space inside a cylinder is its volume. You can find it by dividing the base area by the height. V =πr²h, is the formula for the volume of a cylinder with base radius r and height h.
Given:
a) Volume of Cylinder = πr²h
= 3.14 x 2 x 2 x 6
= 75.36 cube inches.
b) Volume of Cylinder = πr²h
= 3.14 x 2.5 x 2.5 x 5
= 98.125 cube inches.
c) Volume of Cylinder = πr²h
= 3.14 x 3 x 3 x 4
= 113.04 cube inches.
d) Volume of Cylinder = πr²h
= 3.14 x 3.2 x 3.2 x 3
= 94.4608 cube inches.
Hence, can C have greater volume.
Learn more about Volume Of Cylinder here:
https://brainly.com/question/16134180
#SPJ2
Find the total surface area of this triangular prism
Hi!
Answer: 200
The 2 triangles surface area add up to 120
the rectangle on the bottom is 30
The rectangle in the back is 16
And the rectangle on top is 34
So 120+30+16+34 = 200
Hope this is correct and helps!